Finding the Fourth Proportional to 1,147.52, 1,719.72 and 822.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.52 : 1,719.72 = 822.17 : x
2. Step 2: Convert to fraction form
   1,147.52/1,719.72 = 822.17/x
3. Step 3: Cross multiply
   1,147.52x = 1,719.72 × 822.17
4. Step 4: Simplify right side
   1,147.52x = 1,413,893.59
5. Step 5: Solve for x
   x = 1,413,893.59/1,147.52
6. Step 6: Final answer
   x = 1,232.14